Simultaneous approximation by polynomial projection operators

被引：0
作者：
Xie, TF
Zhou, SP
机构：
[1] HANGZHOU UNIV,DEPT MATH,ZHEJIANG 310028,PEOPLES R CHINA
[2] HANGZHOU UNIV,DEPT MATH,HANGZHOU 310028,ZHEJIANG,PEOPLES R CHINA
来源：
MATHEMATISCHE NACHRICHTEN | 1996年 / 181卷
关键词：
simultaneous approximation; polynomial projection operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C-[-1,C-1] into polynomials of degree n, augmented by the interpolation of f at some points near +/- 1. The present result essentially improved those in [BaKi3], and several applications are discussed in Section 4.
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页码：289 / 303
页数：15
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